Question

8 combine like terms: 2y + 7z - 2z + 4y +8 + y +2
a 6y + 9z + 10
b 7y + 5z + 10
c 7y -5z +8
d 6y -5z + 10

Explanation:

Step1: Group like terms (y, z, constants)

\( (2y + 4y + y) + (7z - 2z) + (8 + 2) \)

Step2: Combine y - terms

\( 2y + 4y + y = (2 + 4 + 1)y = 7y \)

Step3: Combine z - terms

\( 7z - 2z = (7 - 2)z = 5z \)

Step4: Combine constants

\( 8 + 2 = 10 \)

Step5: Combine all results

\( 7y + 5z + 10 \)

Answer:

B. \( 7y + 5z + 10 \)